13956977537152000
13,956,977,537,152,000 is an even composite number composed of seven prime numbers multiplied together.
13956977537152000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, one hundred sixty-eight divisors.
Prime factorization of 13956977537152000:
210 × 53 × 13 × 17 × 292 × 412 × 349
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 17 × 29 × 29 × 41 × 41 × 349)See below for interesting mathematical facts about the number 13956977537152000 from the Numbermatics database.
Names of 13956977537152000
- Cardinal: 13956977537152000 can be written as Thirteen quadrillion, nine hundred fifty-six trillion, nine hundred seventy-seven billion, five hundred thirty-seven million, one hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.3956977537152 × 1016
Factors of 13956977537152000
Divisors of 13956977537152000
- Number of divisors d(n): 3168
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 29 32 34 40 41 50 52 58 64 65 68 80 82 85 100 104 116 125 128 130 136 145 160 164 170 200 205 208 221 232 250 256 260 272 290 320 325 328 340 349 377 400 410 416 425 442 464 493 500 512 520 533 544 580 640 650 656 680 697 698 725 754 800 820 832 841 850 884 928 986 1000 1024 1025 1040 1066 1088 1105 1160 1189 1280 1300 1312 1360 1394 1396 1450 1508 1600 1625 1640 1664 1681 1682 1700 1745 1768 1856 1885 1972 2000 2050 2080 2125 2132 2176 2210 2320 2378 2465 2560 2600 2624 2665 2720 2788 2792 2900 3016 3200 3250 3280 3328 3362 3364 3400 3485 3490 3536 3625 3712 3770 3944 4000 4100 4160 4205 4250 4264 4352 4420 4537 4640 4756 4930 5120 5125 5200 5248 5330 5440 5525 5576 5584 5800 5933 5945 6032 6400 6409 6500 6560 6656 6724 6728 6800 6970 6980 7072 7250 7424 7540 7888 8000 8200 8320 8405 8410 8500 8528 8704 8725 8840 9061 9074 9280 9425 9512 9860 10121 10250 10400 10496 10660 10880 10933 11050 11152 11168 11600 11866 11890 12064 12325 12800 12818 13000 13120 13312 13325 13448 13456 13600 13940 13960 14144 14297 14309 14500 14848 15080 15457 15776 16000 16400 16640 16810 16820 17000 17056 17408 17425 17450 17680 18122 18148 18560 18850 19024 19720 20213 20242 20500 20800 20992 21025 21320 21760 21853 21866 22100 22304 22336 22685 23200 23732 23780 24128 24650 25600 25636 26000 26240 26650 26896 26912 27200 27625 27880 27920 28288 28577 28594 28618 29000 29665 29696 29725 30160 30914 31552 32000 32045 32800 33280 33620 33640 34000 34112 34481 34850 34900 35360 36244 36296 37120 37700 38048 39440 40426 40484 41000 41600 41984 42025 42050 42640 43520 43625 43706 43732 44200 44608 44672 45305 45370 46400 47125 47464 47560 48256 48749 49300 50605 51272 52000 52480 53300 53792 53824 54400 54665 55250 55760 55840 56576 57154 57188 57236 58000 59330 59450 60320 61625 61828 63104 64000 64090 65600 66560 66625 67240 67280 68000 68224 68962 69700 69800 70720 71485 71545 72488 72592 74240 75400 76096 77129 77285 78880 80852 80968 82000 83200 84050 84100 85280 87040 87125 87250 87412 87464 88400 89216 89344 90610 90740 92800 94250 94928 95120 96512 97498 98600 101065 101210 102544 104000 104960 105125 106600 107584 107648 108800 109265 109330 110500 111520 111680 113152 113425 114308 114376 114472 116000 118660 118900 120640 123250 123656 126208 128000 128180 131200 131573 133250 134480 134560 136000 136448 137924 139400 139600 141440 142885 142970 143090 144976 145184 148325 148480 148625 150800 152192 154258 154570 157760 160225 161704 161936 164000 166400 168100 168200 170560 172057 172405 174250 174500 174824 174928 176800 178432 178688 181220 181480 185600 185861 186017 188500 189856 190240 193024 194996 197200 202130 202420 205088 208000 209920 210125 210250 213200 215168 215296 217600 218530 218660 221000 223040 223360 226304 226525 226850 228616 228752 228944 232000 237320 237800 241280 243253 243745 246500 247312 252416 253025 256360 262400 262769 263146 266500 268960 269120 272000 272896 273325 275848 278800 279200 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12630748902400 12828104354000 13092849472000 13420170708800 13616563450880 13629860876125 13956977537152 14155149632000 15039846484000 15788436128000 16419973573120 16595692672000 16775213386000 17020704313600 17446221921440 18510580288000 19251003499520 19995669824000 20024358016000 20524966966400 21275880392000 21472273134080 21807777401800 24063754374400 25656208708000 26185698944000 26840341417600 27259721752250 27913955074304 28310299264000 30079692968000 31576872256000 32839947146240 33550426772000 34041408627200 34892443842880 37021160576000 39991339648000 41049933932800 42551760784000 42944546268160 43615554803600 48127508748800 51312417416000 53680682835200 54519443504500 55827910148608 60159385936000 63153744512000 67100853544000 68082817254400 69784887685760 82099867865600 85103521568000 87231109607200 96255017497600 102624834832000 107361365670400 109038887009000 111655820297216 120318771872000 134201707088000 139569775371520 164199735731200 170207043136000 174462219214400 205249669664000 214722731340800 218077774018000 240637543744000 268403414176000 279139550743040 340414086272000 348924438428800 410499339328000 436155548036000 481275087488000 536806828352000 558279101486080 697848876857600 820998678656000 872311096072000 1073613656704000 1395697753715200 1744622192144000 2791395507430400 3489244384288000 6978488768576000 13956977537152000
- Sum of all divisors σ(n): 42268268605399200
- Sum of proper divisors (its aliquot sum) s(n): 28311291068247200
- 13956977537152000 is an abundant number, because the sum of its proper divisors (28311291068247200) is greater than itself. Its abundance is 14354313531095200
Bases of 13956977537152000
- Binary: 1100011001010111001100000100000011110101110100000000002
- Hexadecimal: 0x3195CC103D7400
- Base-36: 3TFC2YR50CG
Squares and roots of 13956977537152000
- 13956977537152000 squared (139569775371520002) is 194797221972565507540271104000000
- 13956977537152000 cubed (139569775371520003) is 2718780451370708796740397878564312055808000000000
-
The
square root of 13956977537152000 is 118139652.6876222029 -
The
cube root of 13956977537152000 is 240767.0915312059
Scales and comparisons
How big is 13956977537152000?- 13,956,977,537,152,000 seconds is equal to 443,788,713 years, 47 weeks, 4 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 13,956,977,537,152,000 would take you about one billion, three hundred thirty-one million, three hundred sixty-six thousand, one hundred forty-one years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 13956977537152000 cubic inches would be around 20063.9 feet tall.
Recreational maths with 13956977537152000
- 13956977537152000 backwards is 00025173577965931
- The number of decimal digits it has is: 17
- The sum of 13956977537152000's digits is 70
- More coming soon!
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"Number 13956977537152000 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
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Numbermatics. (2024). Number 13956977537152000 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/13956977537152000/
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The information we have on file for 13956977537152000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 13956977537152000, math, Factors of 13956977537152000, curriculum, school, college, exams, university, Prime factorization of 13956977537152000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred fifty-six trillion, nine hundred seventy-seven billion, five hundred thirty-seven million, one hundred fifty-two thousand.